SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    10384, 10383, 10382, 10753, 10754, 10755, 
    10296, 10297, 10298, 10299, 10300, 
    10446, 10063, 10052, 10072, 10046, 
    10059, 10064, 10057, 10048, 10062, 
    10070, 10058, 10045, 10054, 10047, 
    10071, 10067, 10051, 10060, 10055, 
    10043
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00082

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": ["PRIMARY", "dispatch"],
      "key": "PRIMARY",
      "key_length": "210",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "rows": 64,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (10384,10383,10382,10753,10754,10755,10296,10297,10298,10299,10300,10446,10063,10052,10072,10046,10059,10064,10057,10048,10062,10070,10058,10045,10054,10047,10071,10067,10051,10060,10055,10043) and cscart_seo_names.`type` = 'p' and cscart_seo_names.dispatch = '' and cscart_seo_names.lang_code = 'ru' and (cscart_seo_names.company_id = 1 or cscart_seo_names.company_id = 0)"
    }
  }
}